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Warm up Solve. 1. x 4x – 20 40 2. 2y + 28 3y – 14° 42 Questions over HW? Did you have hw? Congruent Triangles Congruent triangles have 3 congruent sides and 3 congruent angles. The parts of congruent triangles that “match” are called corresponding parts. In a congruence statement ORDER MATTERS!!!! Everything matches up. AUG DAY Corresponding Parts of Congruent Triangles are Congruent Complete each congruence statement. If ABC DEF, B then BC EF ___ A D C F E Complete each congruence statement. If ABC DEF, B then A D ___ A D C F E Complete each congruence statement. If ABC DEF, B then C F ___ A D C F E Fill in the blanks If CAT DOG, OD then AC ___ Fill in the blanks BAT MON T N ___ ATB _____ ONM BA MO _____ NM TB ____ Fill in the blanks EGF BCA ____ CAB GFE ____ Complete the congruence statement. MKL JKN _____ Complete the congruence statement. ABD CBD _____ 5 ways to Prove Triangles Congruent Side-Side-Side (SSS) Congruence Postulate All Three sides in one triangle are congruent to all three sides in the other triangle Side-Angle-Side (SAS) Congruence Postulate Two sides and the INCLUDED angle (the angle is in between the 2 marked sides) Angle-Angle-Side (AAS) Congruence Postulate Two Angles and One Side that is NOT included Angle-Side-Angle (ASA) Congruence Postulate Two angles and the INCLUDED side (the side is in between the 2 marked angles) There is one more way to prove triangles congruent, but it’s only for RIGHT TRIANGLES…Hypotenuse Leg } NO BAD WORDS Your Only Ways To Prove Triangles Are Congruent 3 markings YOU can add if they aren’t marked already Share a side Reason: Reflexive Property Vertical Angles Reason: Vertical Angles are congruent Alternate Interior Angles Reason: Alt. Int angles are congruent Homework WS #1 – 12